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3 years ago

6

Solve the equation a + b - c = 180 for c please help me

1 answer:

andrew11 [14]3 years ago

5 0

Answer:

c = a + b - 180

Step-by-step explanation:

Add c-180 to both sides of the equation and simplify.

a + b - c + c -180 = 180 + c -180

a + b - 180 = c

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Tim is 4 years older than one-third of Juan's age. In 10 years, Juan will be 6 years older than twice as old as Tim is now. How

olga55 [171]

Answer:

Juan's current age = 12

Tim's current age = 8

Step-by-step explanation:

Let x= Juan's current age; x+10=Juan's age in 10 years

Then (1/3)x+4=Tim's current age;

Now we are told that:

x+10=2{(1/3)x+4}+6 eliminate brackets

x+10=(2/3)x+8+6 =(2/3)x+14 multiply both sides by 3

3x+30=2x+42 subtract 30 and 2x from both side s

3x-2x+30-30=2x-2x+42-30 collect like terms

Juan's current age: x=12

Tim's current age: (1/3)x+4=(1/3)*12+4=8

4 years older than 1/3 of Juan's age=(1/3)*12+4=8

8=8

In 10 years, Juan will be 6 years older than twice as old as Tim is now.

12+10=22

2*8+6=22

22=22

3 0

3 years ago

Read 2 more answers

Rewrite the equation in vertex form. y = x2 - 6x + 18 A) y = (x + 3)2 + 9 B) y = (x - 3)2 + 9 C) y = (x - 3)2 + 27 D) y = (x - 6

Mazyrski [523]

Answer:

$\large\boxed{B)\ y=(x-3)^2+9}$

Step-by-step explanation:

$\text{The vertex form of equation}\ y=ax^2+bx+c:\\\\y=a(x-h)^2+k\\\\h=\dfrac{-b}{2a},\ k=f(h)\\\\\text{We have the equation:}\ y=x^2-6x+18\\\\a=1,\ b=-6,\ c=18\\\\\text{Substitute:}\\\\h=\dfrac{-(-6)}{2(1)}=\dfrac{6}{2}=3\\\\k=f(3)=3^2-6(3)+18=9-18+18=9$

8 0

3 years ago

Read 2 more answers

Help please!!! Show how you go the answer too

borishaifa [10]

Answer:

Step-by-step explanation:

If QPS is a right angle we know a right angle equals 90 degrees. so you can find your answer by doing 90-35.

Therefore getting 56.

Hope this helps :)

6 0

3 years ago

X f(x) = −x2 + x + 6<br> −2 a<br> −1 4<br> 0 b<br> 1 6<br> 2 c

tigry1 [53]

Answer:

-2

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

If you know the measure of one of the 8 angles, you can find the measure of all of the others. Try it. The measure of <1 = 12

MariettaO [177]

Answer:

$\angle 2 =60$

$\angle 3 = 60$

$\angle 4 = 120$

$\angle 5 = 120$

$\angle 6 = 60$

$\angle 7 = 60$

$\angle 8 = 120$

Step-by-step explanation:

Given

$\angle 1 = 120^\circ$

See attachment

Required

Determine the other angles

$\angle 1$ and $\angle 2$ are on a straight line.

So;

$\angle 1 + \angle 2 =180$

Make $\angle 2$ the subject

$\angle 2 =180 - \angle 1$

$\angle 2 =180 - 120$

$\angle 2 =60$

$\angle 1$ , $\angle 4$ , $\angle 5$ and $\angle 8$ are corresponding angles.

So;

$\angle 4 =\angle 1 = 120$

$\angle 5 =\angle 1 = 120$

$\angle 8 =\angle 1 = 120$

Similarly; $\angle 2$ , $\angle 3$ , $\angle 6$ and $\angle 7$ are corresponding angles.

So;

$\angle 3 =\angle 2 = 60$

$\angle 6 =\angle 2 = 60$

$\angle 7 =\angle 2 = 60$

8 0

2 years ago